Geodesic
Diagram technique of $1/N$ expansion in a matrix model of field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 368-380 
N. V. Goncharov; A. A. Slavnov. Diagram technique of $1/N$ expansion in a matrix model of field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 368-380. http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a3/
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     author = {N. V. Goncharov and A. A. Slavnov},
     title = {Diagram technique of $1/N$~expansion in a~matrix model of field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {368--380},
     year = {1986},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the method of singlet bilocal variables, a $1/N$ expansion and corresponding diagram technique in a theory containing matrix fields are constructed. The asymptotic behaviors of the propagator of a singlet bilocal variable are investigated, as are possible ultraviolet divergences.

[1] 't Hooft G., Nucl. Phys., B72:3 (1974), 461–470 | DOI

[2] 't Hooft G., Nucl. Phys., B75:3 (1974), 461–470 | DOI

[3] Callan G. G., Coote Ir. N., Gross D. S., Phys. Rev., D13:6 (1976), 1649–1669

[4] Coleman S., $1/N$, Preprint, SLAC-24846, 1980 | MR

[5] Slavnov A. A., Phys. Lett., B112:2 (1982), 154–156 | DOI | MR

[6] Slavnov A. A., TMF, 54:1 (1983), 52–56

[7] Arefeva I. Ya., TMF, 29:2 (1976), 147–153 | MR

[8] Erdeii A., Asimptoticheskie razlozheniya, Fizmatgiz, M., 1962